Atkin-Lehner |
3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
35955h |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
3061490510795625 = 310 · 54 · 17 · 474 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-167994,-26326625] |
[a1,a2,a3,a4,a6] |
Generators |
[3872778:409291051:343] |
Generators of the group modulo torsion |
j |
719248476695138209/4199575460625 |
j-invariant |
L |
7.7253128740151 |
L(r)(E,1)/r! |
Ω |
0.23590041383145 |
Real period |
R |
8.187048878531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11985c1 |
Quadratic twists by: -3 |